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一种用于均匀照明的衍射光学元件设计的快速模拟退火法
引用本文:刘洪亮,赵逸琼,李永平,付绍军,张巍,张晓波,舒方杰. 一种用于均匀照明的衍射光学元件设计的快速模拟退火法[J]. 计算物理, 2005, 22(3): 240-244
作者姓名:刘洪亮  赵逸琼  李永平  付绍军  张巍  张晓波  舒方杰
作者单位:中国科学技术大学物理系,安徽,合肥,230026;中国科学技术大学同步辐射实验室,安徽,合肥,230027
摘    要:介绍了一种适用于均匀照明的衍射光学元件设计的自洽迭代和优化混合的快速模拟退火法,它引入Tsallis正则分布以及相应的效用函数思想,可以在接近1%的时间内得到和传统模拟退火法有着相同均方差(MSE)的理想模拟结果.

关 键 词:优化  位相混合法  模拟退火法
文章编号:1001-246X(2005)03-0240-005
收稿时间:2004-01-13
修稿时间:2004-01-13

A Fast SA Algorithm for the Design of DOE for Uniform Illumination
LIU Hong-liang,ZHAO Yi-qiong,LI Yong-ping,FU Shao-jun,ZHANG Wei,ZHANG Xiao-bo,SHU Fang-jie. A Fast SA Algorithm for the Design of DOE for Uniform Illumination[J]. Chinese Journal of Computational Physics, 2005, 22(3): 240-244
Authors:LIU Hong-liang  ZHAO Yi-qiong  LI Yong-ping  FU Shao-jun  ZHANG Wei  ZHANG Xiao-bo  SHU Fang-jie
Affiliation:1. Department of Physics, University of Science and Technology of China, Hefei 230026, China;2. National Synchrotron Radiation Laboratory, Hefei 230027, China
Abstract:A fast simulation annealing(SA)algorithm for the design of diffractive optical elements(DOE) for uniform illumination is presented.The Tsallis statistic and corresponding utility function are introduced into a hybrid algorithm in which the self-iterative and SA algorithms are combined to enhance the efficiency.Compared with traditional SA algorithm,simulated results show that it saves 99% of time to converge the incident energy into a desired region with the same mean square error(MSE).
Keywords:optimization  phase mixed algorithm  simulated annealing method
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